Current in Induction: Calculating Mutual Induction

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The discussion revolves around calculating the current produced in a second inductor due to mutual induction with a first inductor sharing the same iron core. It highlights the relationship between voltage changes and current, emphasizing that the current in the second inductor is influenced by the number of windings in each inductor. The principles of conservation of energy and Faraday's Law are mentioned as relevant to understanding these dynamics. The participants explore how to derive the current in the second inductor based on these factors. Overall, the conversation focuses on the complexities of mutual induction and its mathematical implications.
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Homework Statement



Lets say that I have two inductors whihc share the same iron core and I run a current through the first inductor. I know how voltage changes under mutual induction, but how can I figure out the current produced through mutual induction?
 
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How about conservation of energy, or power in = power out?
 
So the current in the second inductor is the same as the current in the first inductor? Is there a way I can derive this?
 
yeah so that gives me voltage. I just divided by resistence right?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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